Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

What does it mean to decompose a fraction?

Back

Decomposing a fraction means breaking it down into a sum of smaller fractions that add up to the original fraction.

Front

How do you reduce a fraction?

Back

To reduce a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator over the original denominator.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to perform operations like addition or subtraction.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.